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Finding the Fourth Proportional to 303,720.53, 419,131.82 and 165,899.53

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Solution

The fourth proportional to 303,720.53, 419,131.82 and 165,899.53 is: 228,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,720.53 : 419,131.82 = 165,899.53 : x
  2. Step 2: Convert to fraction form
    303,720.53/419,131.82 = 165,899.53/x
  3. Step 3: Cross multiply
    303,720.53x = 419,131.82 × 165,899.53
  4. Step 4: Simplify right side
    303,720.53x = 69,533,769,850.39
  5. Step 5: Solve for x
    x = 69,533,769,850.39/303,720.53
  6. Step 6: Final answer
    x = 228,939.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.